Research

I mostly work in algebraic geometry, especially in exploring its connections to combinatorics, representation theory, symplectic geometry, and other related fields. I'm currently spending most of my time thinking about quiver varieties, Bridegland stability, and symplectic embedding problems.

Publications & preprints

  • Reid's recipe and walls for G-Hilb, with Yukari Ito (coming soon)

  • On the construction and classification of rational polygons with prescribed quasi-period collapse, with Al Kasprzyk (coming soon)

  • ECH capacities, Ehrhart theory, and toric geometry (arXiv)

  • Quasi-period collapse for duals to Fano polygons: an explanation from algebraic geometry, with Al Kasprzyk (arXiv)

  • Reconstruction of singularities on orbifold del Pezzo surfaces from their Hilbert series (arXiv, to appear in Communications in Algebra)

    You can find some old thoughts of mine on some things I've previously explored here:

    McKay correspondence

    Mirror symmetry

    An orchard is also an idealized or domesticated version of a forest,
    and the transformation of a shadowy tract of wilderness into a tidy geometry
    of apple trees offered visible, even stirring, proof that a pioneer had mastered the primordial forest     - The botany of desire, Michael Pollan.

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